4226646466224 has 160 divisors (see below), whose sum is σ = 14931742640640. Its totient is φ = 1114719936768.

The previous prime is 4226646466169. The next prime is 4226646466247.

4226646466224 is a `hidden beast` number, since 4 + 2 + 2 + 6 + 6 + 4 + 6 + 4 + 6 + 622 + 4 = 666.

4226646466224 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 53718402 + ... + 53797025.

It is an arithmetic number, because the mean of its divisors is an integer number (93323391504).

Almost surely, 2^{4226646466224} is an apocalyptic number.

It is an amenable number.

4226646466224 is an abundant number, since it is smaller than the sum of its proper divisors (10705096174416).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4226646466224 is a wasteful number, since it uses less digits than its factorization.

4226646466224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107515464 (or 107515452 counting only the distinct ones).

The product of its digits is 31850496, while the sum is 54.

The spelling of 4226646466224 in words is "four trillion, two hundred twenty-six billion, six hundred forty-six million, four hundred sixty-six thousand, two hundred twenty-four".